Wiki source code of stenlund abstract

Last modified by gasbarra@helsinki_fi on 2024/02/13 07:30
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1 Mikko Stenlund: An adiabatic dynamical system as a stochastic process
2 \\Abstract: The statistical properties of dynamical systems are traditionally studied in the context of their invariant measures. Motivated by non-equilibrium phenomena in nature, we wish to step out of the above setup. To this end, we introduce a model whose characteristics change slowly with time; hence the word adiabatic in the title. Solving a martingale problem in the spirit of Stroock and Varadhan, we show that repeated observations of the state of the system yield a certain stochastic diffusion process.